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Finding the Fourth Proportional to 14,923.96, 20,594.65 and 8,209.58

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Solution

The fourth proportional to 14,923.96, 20,594.65 and 8,209.58 is: 11,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.96 : 20,594.65 = 8,209.58 : x
  2. Step 2: Convert to fraction form
    14,923.96/20,594.65 = 8,209.58/x
  3. Step 3: Cross multiply
    14,923.96x = 20,594.65 × 8,209.58
  4. Step 4: Simplify right side
    14,923.96x = 169,073,426.75
  5. Step 5: Solve for x
    x = 169,073,426.75/14,923.96
  6. Step 6: Final answer
    x = 11,328.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.